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    Question

    In hypothesis testing, failing to reject a false null

    hypothesis is known as:
    A Type I error Correct Answer Incorrect Answer
    B Type II error Correct Answer Incorrect Answer
    C Correct decision Correct Answer Incorrect Answer
    D Power of the test Correct Answer Incorrect Answer
    E Level of significance Correct Answer Incorrect Answer

    Solution

    • In hypothesis testing, there are two types of errors:
      • Type I Error ( α ):  Rejecting the  true  null hypothesis (H â‚€ ). A "false positive."
      • Type II Error ( β ):  Failing to reject (i.e., accepting) a  false  null hypothesis (H â‚€ ). A "false negative."
        The  power of a test (1- β )  is the probability of correctly rejecting a false null hypothesis. So, the error described in the question is a Type II error.

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